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Finding the Third Proportional to 6,500,682 and 14,000,340

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Solution

The third proportional to 6,500,682 and 14,000,340 is: 30,152,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,682 : 14,000,340 = 14,000,340 : x
  2. Step 2: Convert to fraction form
    6,500,682/14,000,340 = 14,000,340/x
  3. Step 3: Cross multiply
    6,500,682x = 14,000,340 × 14,000,340
  4. Step 4: Simplify right side
    6,500,682x = 196,009,520,115,600
  5. Step 5: Solve for x
    x = 196,009,520,115,600/6,500,682
  6. Step 6: Final answer
    x = 30,152,147.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.